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polyMatrix  

Infrastructure for Manipulation Polynomial Matrices
View on CRAN: Click here


Download and install polyMatrix package within the R console
Install from CRAN:
install.packages("polyMatrix")

Install from Github:
library("remotes")
install_github("cran/polyMatrix")

Install by package version:
library("remotes")
install_version("polyMatrix", "0.9.16")



Attach the package and use:
library("polyMatrix")
Maintained by
Nikolai Ryzhkov
[Scholar Profile | Author Map]
First Published: 2020-01-16
Latest Update: 2021-07-18
Description:
Implementation of class "polyMatrix" for storing a matrix of polynomials and implements basic matrix operations; including a determinant and characteristic polynomial. It is based on the package 'polynom' and uses a lot of its methods to implement matrix operations. This package includes 3 methods of triangularization of polynomial matrices: Extended Euclidean algorithm which is most classical but numerically unstable; Sylvester algorithm based on LQ decomposition; Interpolation algorithm is based on LQ decomposition and Newton interpolation. Both methods are described in D. Henrion & M. Sebek, Reliable numerical methods for polynomial matrix triangularization, IEEE Transactions on Automatic Control (Volume 44, Issue 3, Mar 1999, Pages 497-508) and in Salah Labhalla, Henri Lombardi & Roger Marlin, Algorithmes de calcule de la reduction de Hermite d'une matrice a coefficients polynomeaux, Theoretical Computer Science (Volume 161, Issue 1-2, July 1996, Pages 69-92) .
How to cite:
Nikolai Ryzhkov (2020). polyMatrix: Infrastructure for Manipulation Polynomial Matrices. R package version 0.9.16, https://cran.r-project.org/web/packages/polyMatrix. Accessed 06 Apr. 2025.
Previous versions and publish date:
0.2.4 (2020-01-16 11:30), 0.2.5 (2020-02-03 07:10), 0.3.1 (2020-06-04 10:50), 0.9.11 (2021-07-11 23:50)
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Complete documentation for polyMatrix
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